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Show 66 ARITHMETICORVM IIBRI PRIMI, PARS II. 67 32-»lais (monii x8.ptoducitur cx radice tCl‘ElI locng .in «'5 part" «L 16.dcmcnflrandrm xcl‘m. quid icfzdutm {cilicer 48. con- 5° ncui 64~qter tcm longioré eiulilem loci: & pcrinde produ 1.12 clupiua :‘l ad quadratfi eiul'dcm loci, {cilicer ad 9. quomplus all part: alters. longior ipfius radicis. Produciturimque in 110C loco {upplcmcmfi 65.6): 7.in 6. EC perindc duo all; 5.1 i" plemém 6-5.8: 63 .coniuné‘m cum 49. quadrato lPfilISlfi1?&1‘lS,fiClfit gnomonem x7 5. Cu} coniunélius Cum qulrlmto ipiius 9.1.. cum 8 [.quadmto {ecundo prqccdétis lociLtcrtij, céponfit quadmrum {ecundum lEquentmn.l.z 56. collateralem, ho: lot). 6: 144.coniunfia cum 8 I .qundmro ipliusin‘ pails 9.E1ciunt 4 .8. gndc {cilicu (12.5.huius quinri loci. Nam per quarmm {ecundi 543";P."" cics -46 Euclidisg‘luo quadmm, & duo {up‘ulcném e). latcrilfius qun- ")4" "KS dratorum pmdué‘m parirer accepta, ccnliciunr quadrarum totalm'szuzius latus (fl aggrcgauxm ex lzitei'jhus quadrntorfi 99 I 23" 2'» cet totalis qmdmti. Va: 2 coulis qaudmtus crit qzmdmtus fecundus, fcilicet z 56. qill fit at 15. in fe. Lube: & in quin- partixlium. Clinic/Inc vnum horizm larc'rum fuerit qua- 51;"; i," drumsmtmciuchilicct16.8:reliqunm imparnumerus {C- ‘44 __ CPU" Cct 625.qui fitex 25. qitadmto lmius quintiloci in {emul- cit14.4.fi1pplem:ntum,q3 H: ex impure huius loci,l7;ilic-:r 9. tiplicaro. Similiter in kxtoAEptimo, octauo, & crateris cle- "-_ j inceps lows in infinitum continuabilurl‘igc dcmcnflmtio. 11' 200" I15. Namquein {eXto loco argues Ilia Produéla intt'grantia {up 1000" ( "1,6? plcm:i.mm,ccntinere prmcedcntem qunclrarum vnrlecies. goo-nouns centralis pmccdentis loci, fcilicet [00. Cum :luplo quadrati primi eiufdem loci, {cilicet cum 3 z. cflicir triplfi pyramidis flu: eiufdélociqur (mi: 4.4. hoc ell: I 5 z. cui numeto addo ipfum lz.p1rrc altem longiorem, 6: conficio I 44. cumc'lue tcr -- I. 100. columm praadiéh fiat ex radice eiufdem loci, fcilicen 4. in quadrarum centralem collateralem, {cilicet in 25.91qu :vlLIJI4l5l5l7 ipfe 2. ;. conifer ex duobus qmdi‘atis primisfcilicet collar:rali & prsecedenti,hoc elkex i 6.8: 9. jam ipfc loo. fiet ex 4.- 1I3I5I7I9ILI|15I15II7 1 S-bis in 5. Ez‘go 36. qui fit ex 4. in 9. coniunc'tuscum I z. lcilicct torus 4811c: ex 4.. in 2.. quod efhggregatum ex 9. 8c ;. Sic hlbemus tria produéh : l-ClllCCt 52.6): 2. in 16. quod filit 27--tcr E {apties-p duplum quadrati cum columna coniunfltum:64.ex 4.in 16. 18 -bis cedcntis loci. I8 I 9I10IRndices. I19I1mpares ,7 ,7‘. I 55 [Trianguliprimi x I 3 I6IIOI15ILII 2.8 I 35 I 45 I l K [9 I44. I85 I146I L5|I344 I 4.89 I670 Il'y‘amiilcs qumlrnti ccnrriiles I I 4 I 9 M6 I15 I36 I 49 I 64 I SI [:00 IQLLflClmtlprlIni x Ii; I65 I175I369I67.I1105I1695I2465I3459IGnomones. atque 48. ex 4.in iz.integmntia totum (44.. (Samoa: 61 --5 ~-- 55 {oto numero i4 4.ipfc 5 z.c6rineat bis 16. éziipfc 64.quntct An I 6.d€- I 15 '9 a" 21 40° ' res {cquentes : Vt h:c1n margmc notaul , quo conflet pro- . l d‘ Politum dIum fem pcrell: Cu bus pre- O-‘nllfil canoes-4 in 16.8: cx 4.in 9 At ipfe 11.9:Lrte alters. longior fire-x 4- 64 ' (' "cs ' .In {eptimo loco tredecies,in oflauo quindrciesfin nono fep E f '1‘. . - f‘ 1600 temdec'es, in dccimo vndiuigefles.&licdeinceps perimpa E [C (emccps m in m ‘ . . . . tum. Hz in) Iflum me - 2' x-{emel , '64 midis I g 2.. Q3)" hicoflmdmiunnqu‘od iz.cum 1%;53‘1' fic porcfl: concludi: N111] per 80.huius column qtmdmtx 4 m 17 qmns, {CllIC6t9.i21n fer 1 f‘huiumggregmus ea ipfis, tom2- [._ ‘1088 .lis {cilicetqundmli lotus, crit humerus quadrams ,fcilicet 109| 2" m . d" 2;.Vnde Iotele qundmmm eritqmdratus liecundus, fcili71§~n<gI1€S )9 "81 5 --- I z. :.6,‘z. '- - 10C9 2.436 S-bis i_l:‘ -h 7 3 5 impai‘ ell 9. quldruplum trianguli (xpe dit‘li 2.4.{7cxcuplum pyramiclis 7.6.4.. & ideo duplum trianguli ( z.triplu:n pyra- in larus l'ecundi qiudmti pita-3:. :nris, {cilicec in 16. Q1961 4-fcmel --§ 2.0 (its-56 {Cilcet cum 256. quadi‘ato {ccundo prmccdcmis loci, S b' {ciliarquarti,con*ponirfiqucntcm quadrarrm ficundum, 89 9 "(15 . iam aggregatum e1: ipfis, totalis (ClllCCt qu Mind latus erir, 15---5+- --- ‘ ---~5 39 Sfibis ‘8] __ 016.5 gnomontm 569. qui ccniunc'lus c1 mquudruxoiI‘fius 16.; :{ngicl 4 per 135 huius, erir qmdmtus {equensfcilicei' 16.laruS,{cili. 9 *5 6- 4 circo PIOCLaUS e1": triplus ad quadramm collaremlchfi- H ""36? 0‘5"" Ike: ad 16.quotuplus cfl'parte altem longioripfiusracli~ Iccflqu‘lm ' cis. Producitur imque in hoc loco filpplcincntllln 144." I_.-~z75 ex 9. in 16. &1(leo duo mlia [lipplcntmta ,fcilicct 144. 7" 1726-"l'i5‘ "(dc ell, lmius quai‘ti loci. Nim,p:r 4.‘ fecundi Eucliclduo quz. dram 86 duo filpplcm :ntn. ex literibus qu ulnroriim proclu. (Eh paricer accepm, céficiunt quadratum rotalcm: cuius latus ell aggregatum ex lateribus qiudratorum partialium. Cumquc vnum liomm latcmm fuerit iam qmdmtus numerus , fcilicer 9. 85 rcliquum impair num :I'LIS fequensfq. ro loco demum propolimm dcmonflmre. In quo quidem 4» -L 5 . tineat ter 10. VI lmliccr toms I44. CCi‘uI‘J'Ll‘ae'clar nouiw 16. CS--- 16 48»- ter iuxta impan n: Izuius loci,lcilicct poucdficutpriusfacile .___,44 ofizndiiur. @oniam 48.1)Ioducitur cx i‘cdicc qvarti loci, _' 5o--l‘is Vnde {cilicet 4.in iz.parte altci‘a lcngionm eiulkfim loci. Bid, 09 . 2 Pnopo- |